Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 1.21917（x-20） = 0.138（170-x） .
Question type: Equation
Solution:Original question:
121917 100000 | ( | x | − | 20 | ) | = | 69 500 | ( | 170 | − | x | ) |
| Left side of the equation = | 121917 100000 | x | − | 121917 100000 | × | 20 |
| = | 121917 100000 | x | − | 121917 5000 |
121917 100000 | x | − | 121917 5000 | = | 69 500 | ( | 170 | − | x | ) |
| Right side of the equation = | 69 500 | × | 170 | − | 69 500 | x |
| = | 1173 50 | − | 69 500 | x |
121917 100000 | x | − | 121917 5000 | = | 1173 50 | − | 69 500 | x |
Transposition :
121917 100000 | x | + | 69 500 | x | = | 1173 50 | + | 121917 5000 |
Combine the items on the left of the equation:
135717 100000 | x | = | 1173 50 | + | 121917 5000 |
Combine the items on the right of the equation:
135717 100000 | x | = | 239217 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 239217 5000 | ÷ | 135717 100000 |
| = | 239217 5000 | × | 100000 135717 |
| = | 79739 | × | 20 45239 |
We obtained :
| x | = | 1594780 45239 |
Convert the result to decimal form :
| x | = | 35.252327 |